laser cutter

Hi guys, sorry for bother you with this post but I cannot understand laser cut, also If I have read everything possible on web. I'd like to buy a laser cut that doens't cost me 1k €/$ and that engrave and cut styrofoam/polystyrene, eva foam(at least 3mm, 10mm will be awsome), and that can cut...

Title says it all.... :) Been stuck doing the same ol' same ol' lately... (etched/edge lit arcylic stuff, wooden wine boxes, coasters...blah blah)... I dont really have a desire to do any 'pepkura' stuff (but I imagine laser cutting the paper/materials makes a better final result).. So I'm...